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Finding the Fourth Proportional to 41,451, 57,202.38 and 22,588.13

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Solution

The fourth proportional to 41,451, 57,202.38 and 22,588.13 is: 31,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,451 : 57,202.38 = 22,588.13 : x
  2. Step 2: Convert to fraction form
    41,451/57,202.38 = 22,588.13/x
  3. Step 3: Cross multiply
    41,451x = 57,202.38 × 22,588.13
  4. Step 4: Simplify right side
    41,451x = 1,292,094,509.74
  5. Step 5: Solve for x
    x = 1,292,094,509.74/41,451
  6. Step 6: Final answer
    x = 31,171.61

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Half scale
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Double scale
Find fourth proportional to 41,452, 57,203.76 and 22,589.13
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.